Yes! In fact..

The first version of Google TV, an internal demo, was based on MythTV. We had MythTV running against some HDHomeRun tuners, then a transparent webview (a fork of Petit Four-era Android builds since it had great d-pad nav support) running on top of it.

"Apps" were pure JavaScript gadgets, inspired by iGoogle, with custom DOM methods for anything TV-specific: channel changes, tuning info, and so on. With the MythTV demo, we managed to make some pretty fun hybrid apps that did things like pull up related stories about the TV show you were watching (maybe sounds lame now but was kinda cool seeing it for the first time: an iframe over my TV show, holy shit what can't I do with this). Adware was never discussed; we wanted to be a free and hackable OS for the living room.

After heading in this "widgets" direction for about a year, Android had been released and we strongly believed in a strategy based on it, so made the pivot. It was pretty tough, and educational, trying to build consumer products at Google in this era and without any singular unifying vision across the company. I longed for a top-down dictator like Steve Jobs who could cut the crap.. (even if we were judged to be the crap!)

I'm guessing the ad-infested OS from OP has some lineage back to the original Google TV, but of course I'm sure it's barely recognizable now.